# Ch 2: PLACE Mathematics: Fractions

### About This Chapter

## PLACE Mathematics: Fractions - Chapter Summary

There are many rules for solving equations that contain fractions, and these video lessons will guide you through all the steps. Since fractions appear in a large amount of mathematical problems, you need to make sure you understand the rules for fractions if you want to do well on the PLACE Mathematics exam. After completing this chapter, you will know more about the following:

- Least common denominators
- Building and reducing fractions
- Changing mixed number and improper fractions
- Multiplying and dividing fractions
- Adding and subtracting fractions

The video lessons use audio and visual teaching styles to discuss the use of fractions in a wide range of equations. Lesson transcripts are also available, and the bolded keywords highlight major concepts. All lessons are equipped with quizzes, so you can test your skills at solving fractions as a way to practice for the PLACE Mathematics exam.

### PLACE Mathematics: Fractions Objectives

The PLACE Mathematics exam is a tool used by the state of Colorado to determine your knowledge and teaching skills within the area of mathematics. Some of the objectives for this exam include establishing how well you understand number relationships, the properties of real numbers, number theory, and related principles. These exams are presented in a multiple-choice question format, and this exam asks questions that cover five key areas within the field of mathematics. Fractions are predominately covered in the foundations of math area of the exam.

### 1. How to Build and Reduce Fractions

In mathematics, fractions are numerical quantities used to represent something that is a portion of a whole, such as a piece of pie that is 1/8, or one of eight pieces, of an entire pie. Learn what fractions are and recognize the difference between the numerator and denominator. Explore how to build and then how to reduce fractions, and understand the role of the greatest common factor (GCF) in this process.

### 2. How to Find Least Common Denominators

Finding the least common denominator requires calculating the least common multiple of two or more denominators. Learn the definition of multiples, explore how to use them to find the least common denominator, and understand the examples.

### 3. Changing Between Improper Fraction and Mixed Number Form

In mathematics, an improper fraction has a denominator that is smaller than its numerator, and a mixed number is composed of an integer paired with a proper fraction. Practice examples to learn how to change between the forms for improper fractions and mixed numbers. Understand when each form is appropriate and should be used over the alternate form.

### 4. How to Add and Subtract Like Fractions and Mixed Numbers

After determining a common denominator in a problem with mixed numbers and fractions, adding and subtracting fractions and mixed numbers requires two more steps. Learn how to add and subtract like fractions and mixed numbers, and review examples.

### 5. How to Add and Subtract Unlike Fractions and Mixed Numbers

Some of the most commonly seen forms of fractions are unlike fractions and mixed numbers. Learn to add and subtract unlike fractions and mixed numbers by reviewing how fractions are handled then explore these processes using real-life examples.

### 6. Multiplying Fractions and Mixed Numbers

Fractions can be multiplied, even when presented as mixed numbers, where an integer accompanies a fraction. Demonstrate understanding through solving examples in dollars, and practicing multiplying fractions and mixed numbers.

### 7. Dividing Fractions and Mixed Numbers

Fractions can be divided even when presented as mixed numbers, which is where an integer accompanies a fraction. Practice the division of fractions and mixed numbers in a series of practical scenarios.

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### Other Chapters

Other chapters within the PLACE Mathematics: Practice & Study Guide course

- PLACE Mathematics: Properties of Real Numbers
- PLACE Mathematics: Decimals & Percents
- PLACE Mathematics: Ratios & Proportions
- PLACE Mathematics: Measurements & Conversions
- PLACE Mathematics: Logic
- PLACE Mathematics: Mathematical Reasoning
- PLACE Mathematics: Vector Operations
- PLACE Mathematics: Matrices & Determinants
- PLACE Mathematics: Exponents & Exponential Expressions
- PLACE Mathematics: Algebraic Expressions
- PLACE Mathematics: Linear Equations
- PLACE Mathematics: Inequalities
- PLACE Mathematics: Absolute Value Problems
- PLACE Mathematics: Quadratic Equations
- PLACE Mathematics: Polynomials
- PLACE Mathematics: Rational Expressions
- PLACE Mathematics: Radical Expressions
- PLACE Mathematics: Systems of Equations
- PLACE Mathematics: Complex Numbers
- PLACE Mathematics: Functions
- PLACE Mathematics: Graphing Piecewise Functions
- PLACE Mathematics: Exponential and Logarithmic Functions
- PLACE Mathematics: Continuity of Functions
- PLACE Mathematics: Limits
- PLACE Mathematics: Rate of Change
- PLACE Mathematics: Calculating Derivatives & Derivative Rules
- PLACE Mathematics: Graphing Derivatives & L'Hopital's Rule
- PLACE Mathematics: Applications of Derivatives
- PLACE Mathematics: Area Under the Curve & Integrals
- PLACE Mathematics: Integration & Integration Techniques
- PLACE Mathematics: Integration Applications
- PLACE Mathematics: Foundations of Geometry
- PLACE Mathematics: Introduction to Geometric Figures
- PLACE Mathematics: Properties of Triangles
- PLACE Mathematics: Triangles, Theorems & Proofs
- PLACE Mathematics: Parallel Lines & Polygons
- PLACE Mathematics: Quadrilaterals
- PLACE Mathematics: Circular Arcs & Circles
- PLACE Mathematics: Conic Sections
- PLACE Mathematics: Geometric Solids
- PLACE Mathematics: Analytical Geometry
- PLACE Mathematics: Using Trigonometric Functions
- PLACE Mathematics: Trigonometric Graphs
- PLACE Mathematics: Solving Trigonometric Equations
- PLACE Mathematics: Trigonometric Identities
- PLACE Mathematics: Sequences & Series
- PLACE Mathematics: Graph Theory
- PLACE Mathematics: Set Theory
- PLACE Mathematics: Overview of Statistics
- PLACE Mathematics: Summarizing Data
- PLACE Mathematics: Tables & Plots
- PLACE Mathematics: Probability
- PLACE Mathematics: Discrete Probability Distributions
- PLACE Mathematics: Continuous Probability Distributions
- PLACE Mathematics: Sampling
- PLACE Mathematics: Hypothesis Testing
- PLACE Mathematics: Regression & Correlation
- PLACE Mathematics Flashcards